edit

Anasol.jl

Module Anasol.jl provides a series of analytical solutions for groundwater contaminant transport in 1, 2, and 3 dimensions. The provided solutions have:

  • different source types

    • instantaneous contaminant release
    • continuous contaminant release with a unit flux
    • continuous contaminant release with a given constant flux

    • different source shapes

    • constrained (within predefined limits)

    • distributed (assuming normal distribution)

    • different dispersion models

    • classical (Fickian)

    • Brownian

    • different boundaries along each axis

    • infinite (no boundary)

    • reflecting
    • absorbing

All functions have the following arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Anasol.jl module functions:

# Anasol.long_b_b_a_c — Function.

1-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained
  • Dispersion: X - brownian
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_b_b_a_cf — Function.

1-dimensional continuous contaminant release with a given flux

  • Source: X - constrained
  • Dispersion: X - brownian
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_b_b_a_ckernel — Function.

1-dimensional contaminant source kernel

  • Source: X - constrained
  • Dispersion: X - brownian
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_b_b_i_c — Function.

1-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained
  • Dispersion: X - brownian
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_b_b_i_cf — Function.

1-dimensional continuous contaminant release with a given flux

  • Source: X - constrained
  • Dispersion: X - brownian
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_b_b_i_ckernel — Function.

1-dimensional contaminant source kernel

  • Source: X - constrained
  • Dispersion: X - brownian
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_b_b_r_c — Function.

1-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained
  • Dispersion: X - brownian
  • Boundary: X - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_b_b_r_cf — Function.

1-dimensional continuous contaminant release with a given flux

  • Source: X - constrained
  • Dispersion: X - brownian
  • Boundary: X - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_b_b_r_ckernel — Function.

1-dimensional contaminant source kernel

  • Source: X - constrained
  • Dispersion: X - brownian
  • Boundary: X - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_b_d_a_c — Function.

1-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed
  • Dispersion: X - brownian
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_b_d_a_cf — Function.

1-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed
  • Dispersion: X - brownian
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_b_d_a_ckernel — Function.

1-dimensional contaminant source kernel

  • Source: X - dispersed
  • Dispersion: X - brownian
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_b_d_i_c — Function.

1-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed
  • Dispersion: X - brownian
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_b_d_i_cf — Function.

1-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed
  • Dispersion: X - brownian
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_b_d_i_ckernel — Function.

1-dimensional contaminant source kernel

  • Source: X - dispersed
  • Dispersion: X - brownian
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_b_d_r_c — Function.

1-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed
  • Dispersion: X - brownian
  • Boundary: X - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_b_d_r_cf — Function.

1-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed
  • Dispersion: X - brownian
  • Boundary: X - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_b_d_r_ckernel — Function.

1-dimensional contaminant source kernel

  • Source: X - dispersed
  • Dispersion: X - brownian
  • Boundary: X - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_aa_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_aa_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_aa_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ai_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ai_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ai_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ar_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ar_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ar_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ia_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ia_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ia_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ii_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ii_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ii_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ir_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ir_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ir_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ra_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ra_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ra_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ri_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ri_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_ri_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_rr_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_rr_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bb_rr_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_aa_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_aa_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_aa_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ai_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ai_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ai_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ar_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ar_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ar_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ia_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ia_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ia_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ii_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ii_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ii_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ir_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ir_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ir_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ra_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ra_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ra_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ri_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ri_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_ri_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_rr_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_rr_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_bd_rr_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_aa_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_aa_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_aa_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ai_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ai_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ai_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ar_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ar_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ar_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ia_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ia_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ia_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ii_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ii_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ii_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ir_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ir_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ir_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ra_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ra_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ra_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ri_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ri_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_ri_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_rr_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_rr_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_db_rr_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_aa_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_aa_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_aa_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ai_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ai_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ai_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ar_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ar_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ar_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ia_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ia_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ia_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ii_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ii_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ii_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ir_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ir_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ir_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ra_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ra_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ra_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ri_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ri_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_ri_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_rr_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_rr_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bb_dd_rr_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbb_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bbd_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdb_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_bdd_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbb_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_dbd_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddb_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbb_ddd_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbb_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bbd_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdb_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_bdd_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbb_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_dbd_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddb_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bbf_ddd_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_aa_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_aa_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_aa_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ai_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ai_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ai_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ar_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ar_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ar_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ia_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ia_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ia_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ii_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ii_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ii_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ir_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ir_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ir_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ra_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ra_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ra_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ri_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ri_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_ri_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_rr_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_rr_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bb_rr_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_aa_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_aa_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_aa_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ai_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ai_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ai_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ar_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ar_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ar_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ia_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ia_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ia_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ii_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ii_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ii_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ir_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ir_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ir_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ra_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ra_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ra_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ri_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ri_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_ri_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_rr_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_rr_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_bd_rr_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_aa_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_aa_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_aa_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ai_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ai_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ai_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ar_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ar_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ar_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ia_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ia_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ia_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ii_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ii_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ii_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ir_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ir_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ir_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ra_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ra_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ra_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ri_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ri_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_ri_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_rr_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_rr_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_db_rr_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_aa_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_aa_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_aa_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ai_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ai_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ai_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ar_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ar_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ar_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ia_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ia_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ia_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ii_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ii_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ii_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ir_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ir_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ir_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ra_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ra_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ra_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ri_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ri_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_ri_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_rr_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_rr_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bf_dd_rr_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - brownian Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbb_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bbd_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdb_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_bdd_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbb_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_dbd_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddb_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bfb_ddd_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbb_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bbd_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdb_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_bdd_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbb_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_dbd_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddb_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_bff_ddd_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - brownian Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_b_a_c — Function.

1-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained
  • Dispersion: X - fractional
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_b_a_cf — Function.

1-dimensional continuous contaminant release with a given flux

  • Source: X - constrained
  • Dispersion: X - fractional
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_b_a_ckernel — Function.

1-dimensional contaminant source kernel

  • Source: X - constrained
  • Dispersion: X - fractional
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_b_i_c — Function.

1-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained
  • Dispersion: X - fractional
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_b_i_cf — Function.

1-dimensional continuous contaminant release with a given flux

  • Source: X - constrained
  • Dispersion: X - fractional
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_b_i_ckernel — Function.

1-dimensional contaminant source kernel

  • Source: X - constrained
  • Dispersion: X - fractional
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_b_r_c — Function.

1-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained
  • Dispersion: X - fractional
  • Boundary: X - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_b_r_cf — Function.

1-dimensional continuous contaminant release with a given flux

  • Source: X - constrained
  • Dispersion: X - fractional
  • Boundary: X - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_b_r_ckernel — Function.

1-dimensional contaminant source kernel

  • Source: X - constrained
  • Dispersion: X - fractional
  • Boundary: X - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_d_a_c — Function.

1-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed
  • Dispersion: X - fractional
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_d_a_cf — Function.

1-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed
  • Dispersion: X - fractional
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_d_a_ckernel — Function.

1-dimensional contaminant source kernel

  • Source: X - dispersed
  • Dispersion: X - fractional
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_d_i_c — Function.

1-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed
  • Dispersion: X - fractional
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_d_i_cf — Function.

1-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed
  • Dispersion: X - fractional
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_d_i_ckernel — Function.

1-dimensional contaminant source kernel

  • Source: X - dispersed
  • Dispersion: X - fractional
  • Boundary: X - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_d_r_c — Function.

1-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed
  • Dispersion: X - fractional
  • Boundary: X - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_d_r_cf — Function.

1-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed
  • Dispersion: X - fractional
  • Boundary: X - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_f_d_r_ckernel — Function.

1-dimensional contaminant source kernel

  • Source: X - dispersed
  • Dispersion: X - fractional
  • Boundary: X - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_aa_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_aa_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_aa_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ai_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ai_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ai_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ar_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ar_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ar_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ia_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ia_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ia_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ii_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ii_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ii_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ir_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ir_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ir_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ra_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ra_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ra_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ri_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ri_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_ri_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_rr_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_rr_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bb_rr_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_aa_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_aa_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_aa_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ai_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ai_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ai_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ar_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ar_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ar_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ia_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ia_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ia_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ii_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ii_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ii_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ir_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ir_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ir_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ra_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ra_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ra_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ri_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ri_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_ri_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_rr_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_rr_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_bd_rr_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_aa_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_aa_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_aa_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ai_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ai_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ai_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ar_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ar_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ar_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ia_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ia_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ia_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ii_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ii_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ii_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ir_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ir_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ir_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ra_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ra_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ra_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ri_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ri_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_ri_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_rr_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_rr_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_db_rr_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_aa_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_aa_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_aa_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ai_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ai_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ai_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ar_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ar_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ar_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ia_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ia_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ia_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ii_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ii_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ii_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ir_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ir_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ir_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ra_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ra_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ra_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ri_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ri_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_ri_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_rr_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_rr_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fb_dd_rr_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - brownian
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbb_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bbd_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdb_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_bdd_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbb_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_dbd_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddb_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbb_ddd_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbb_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bbd_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdb_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_bdd_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbb_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_dbd_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddb_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fbf_ddd_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - brownian Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_aa_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_aa_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_aa_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ai_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ai_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ai_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ar_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ar_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ar_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ia_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ia_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ia_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ii_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ii_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ii_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ir_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ir_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ir_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ra_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ra_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ra_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ri_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ri_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_ri_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_rr_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_rr_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bb_rr_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_aa_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_aa_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_aa_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ai_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ai_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ai_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ar_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ar_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ar_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ia_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ia_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ia_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ii_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ii_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ii_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ir_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ir_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ir_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ra_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ra_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ra_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ri_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ri_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_ri_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_rr_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_rr_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_bd_rr_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_aa_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_aa_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_aa_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ai_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ai_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ai_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ar_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ar_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ar_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ia_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ia_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ia_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ii_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ii_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ii_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ir_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ir_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ir_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ra_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ra_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ra_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ri_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ri_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_ri_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_rr_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_rr_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_db_rr_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_aa_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_aa_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_aa_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ai_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ai_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ai_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ar_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ar_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ar_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ia_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ia_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ia_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ii_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ii_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ii_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ir_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ir_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ir_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - absorbing Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ra_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ra_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ra_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ri_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ri_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_ri_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_rr_c — Function.

2-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_rr_cf — Function.

2-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ff_dd_rr_ckernel — Function.

2-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed
  • Dispersion: X - fractional Y - fractional
  • Boundary: X - reflecting Y - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbb_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bbd_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdb_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_bdd_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbb_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_dbd_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddb_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_ffb_ddd_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - brownian
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbb_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bbd_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdb_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_bdd_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - constrained Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbb_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_dbd_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - constrained Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddb_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - constrained
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_aaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_aaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_aaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_aai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_aai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_aai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_aar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_aar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_aar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_aia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_aia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_aia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_aii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_aii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_aii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_air_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_air_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_air_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_ara_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_ara_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_ara_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_ari_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_ari_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_ari_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_arr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_arr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_arr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iaa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iaa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iaa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iia_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iia_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iia_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_ira_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_ira_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_ira_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_iri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_irr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_irr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_irr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - absorbing Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_raa_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_raa_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_raa_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rai_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rai_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rai_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rar_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rar_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rar_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_ria_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_ria_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_ria_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rii_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rii_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rii_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rir_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rir_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rir_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - absorbing Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rra_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rra_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rra_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rri_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rri_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rri_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - absorbing

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rrr_c — Function.

3-dimensional continuous contaminant release with a unit flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rrr_cf — Function.

3-dimensional continuous contaminant release with a given flux

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.long_fff_ddd_rrr_ckernel — Function.

3-dimensional contaminant source kernel

  • Source: X - dispersed Y - dispersed Z - dispersed
  • Dispersion: X - fractional Y - fractional Z - fractional
  • Boundary: X - reflecting Y - reflecting Z - reflecting

Arguments:

  • t: time to compute the concentration
  • x: spatial coordinates of the point to compute the concentration
  • x01/x02/x03: contaminant source coordinates
  • sigma01/sigma02/sigma01: contaminant source sizes (if a constrained source) or standard deviations (if a distributed source)
  • t0/t1: contaminant release times (source is released between t0 and t1)
  • v1/v2/v3: groundwater flow velocity components
  • sigma1/sigma2/sigma3: groundwater flow dispersion components
  • lambda: half-life contaminant decay
  • H1/H2/H3: Hurst coefficients in the case of fractional Brownian dispersion
  • xb1/xb2/xb3: locations of the domain boundaries

Returns:

  • contaminant concentration at location x at time t

source

# Anasol.@code — Macro.

code the code macro is used to put a line of code (or a quote) onto the growing gen_code function.

source

# Anasol.@gen_code — Macro.

gen_code rejigs the standard julia @generate macro so that it creates a code expression variable that can be extended using the @code macro. At the end of the function it automatically outputs the result.

source